eigenvalue%2Feigenvector%20characterization
The term"feigenvector" was not found.Possible alternative term: "eigenvector".
(0.006 seconds)
1—10 of 823 matching pages
1: 28.7 Analytic Continuation of Eigenvalues
§28.7 Analytic Continuation of Eigenvalues
… ►To 4D the first branch points between and are at with , and between and they are at with . … ►For a visualization of the first branch point of and see Figure 28.7.1. … ►All the , , can be regarded as belonging to a complete analytic function (in the large). …Analogous statements hold for , , and , also for . …2: 29.21 Tables
…
►
•
►
•
Ince (1940a) tabulates the eigenvalues , (with and interchanged) for , , and . Precision is 4D.
Arscott and Khabaza (1962) tabulates the coefficients of the polynomials in Table 29.12.1 (normalized so that the numerically largest coefficient is unity, i.e. monic polynomials), and the corresponding eigenvalues for , . Equations from §29.6 can be used to transform to the normalization adopted in this chapter. Precision is 6S.
3: 29.20 Methods of Computation
…
►
§29.20(i) Lamé Functions
►The eigenvalues , , and the Lamé functions , , can be calculated by direct numerical methods applied to the differential equation (29.2.1); see §3.7. … ►A third method is to approximate eigenvalues and Fourier coefficients of Lamé functions by eigenvalues and eigenvectors of finite matrices using the methods of §§3.2(vi) and 3.8(iv). … ►§29.20(ii) Lamé Polynomials
►The eigenvalues corresponding to Lamé polynomials are computed from eigenvalues of the finite tridiagonal matrices given in §29.15(i), using methods described in §3.2(vi) and Ritter (1998). …4: 29.9 Stability
…
►If is not an integer, then (29.2.1) is unstable iff or lies in one of the closed intervals with endpoints and , .
If is a nonnegative integer, then (29.2.1) is unstable iff or for some .
5: 29.4 Graphics
…
►
§29.4(i) Eigenvalues of Lamé’s Equation: Line Graphs
… ► … ► ►§29.4(ii) Eigenvalues of Lamé’s Equation: Surfaces
… ► …6: 28.6 Expansions for Small
…
►
§28.6(i) Eigenvalues
►Leading terms of the power series for and for are: … ►The coefficients of the power series of , and also , are the same until the terms in and , respectively. … ►Higher coefficients in the foregoing series can be found by equating coefficients in the following continued-fraction equations: … ►Here for , for , and for and . …7: 28.16 Asymptotic Expansions for Large
8: 28.13 Graphics
9: 29.3 Definitions and Basic Properties
…
►